Parallelogram abcd is rotated to create image a'b'c'd'.

which rule describes the transformation?

(x, y) → (y, –x)
(x, y) → (–y, x)
(x, y) → (–x, –y)
(x, y) → (x, –y)

Answer-

Parallelogram ABCD is rotated to create image A'B'C'D', (x, y) → (y, –x) describes the transformation.

Solution-

Co-ordinates of vertices are,

A = (2, 5)

B = (5, 4)

C = (5, 2)

D = (2, 3)

After transfermation,

A' = (5, -2)

B' = (4, -5)

C' = (2, -5)

D' = (3, -2)

As we can see, the new values of the co-ordinates have changed in a pattern.

∴ The parallelogram ABCD is rotated 90° in the clockwise direction in order to form parallelogram A'B'C'D'. And the rule for clockwise 90° rotation is (x, y) → (y, –x).

The transformation rule is in transforming the parallelogram ABCD to .

Further explanation:

Coordinate of point A of a parallelogram ABCD is .

Coordinate of point B of a parallelogram ABCD is .

Coordinate of point C of a parallelogram ABCD is .

Coordinate of point D of a parallelogram ABCD is .

Coordinate of point {\text{A'}} of a parallelogram ABCD is .

Coordinate of point {\text{B'}} of a parallelogram ABCD is .

Coordinate of point {\text{C'}} of a parallelogram ABCD is .

Coordinate of point {\text{D'}} of a parallelogram ABCD is .

The coordinates of the of parallelogram can be obtained by rotating the in clockwise direction.

The coordinated of parallelogram follow the rule .

The transformation rule is in transforming the parallelogram ABCD to .

Learn more:

1. Learn more about inverse of the

2. Learn more about equation of circle

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Quadrilateral

Keywords: parallelogram, transformation, rectangle, coordinates, rotation, rule, transforming a parallelogram.

1/5^2 = 7.56/45